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Finding the Third Proportional to 143,818.50 and 225,144

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Solution

The third proportional to 143,818.50 and 225,144 is: 352,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,818.50 : 225,144 = 225,144 : x
  2. Step 2: Convert to fraction form
    143,818.50/225,144 = 225,144/x
  3. Step 3: Cross multiply
    143,818.50x = 225,144 × 225,144
  4. Step 4: Simplify right side
    143,818.50x = 50,689,820,736
  5. Step 5: Solve for x
    x = 50,689,820,736/143,818.50
  6. Step 6: Final answer
    x = 352,456.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.